The question asks to identify the causative agent of ringworm. This requires knowledge of common infectious diseases and their classifications based on the type of pathogen.
Correct Option: C) Fungus
The problem asks us to find the next term in the given series: 11, 77, 38.5, 231, (…). We need to identify the pattern of operations (multiplication, division, addition, subtraction, or a combination) between consecutive terms.
The first term is 11 and the second term is 77.
\[ 11 \times 7 = 77 \]The second term is 77 and the third term is 38.5.
\[ 77 \div 2 = 38.5 \]The third term is 38.5 and the fourth term is 231.
Let's check if it's multiplication by 7 again:
\[ 38.5 \times 7 = 269.5 \] This is not 231. So, the multiplier is not fixed at 7. Let's find the actual multiplier.\[ 231 \div 38.5 = 6 \]So, the operation is multiplication by 6.
The operations are:
It appears to be an alternating pattern of multiplication and division. The multipliers/divisors are decreasing by 1 for multiplication and staying constant for division, or there's another pattern.
Let's re-examine the multipliers/divisors: \( \times 7, \div 2, \times 6 \).
The sequence of operations seems to be: multiply by a number, then divide by 2, then multiply by a number, then divide by 2, and so on.
The multipliers are 7, then 6. This suggests the next multiplier might be 5.
Following the pattern \( \times 7, \div 2, \times 6, \dots \), the next operation should be \( \div 2 \).
So, the next term will be the fourth term divided by 2.
\[ 231 \div 2 = 115.5 \]C) 115.5 is the correct answer, as it follows the identified pattern of alternating multiplication and division.
This question asks about the relationship between temperature and the kinetic energy of particles in solids. Understanding the fundamental definition of temperature and its effect on molecular motion is key to answering this question.
C) Increases. As temperature is a direct measure of the average kinetic energy of particles, increasing the temperature of solids leads to increased vibrational motion of their constituent particles, thus increasing their kinetic energy.
This problem involves relative speed. We need to calculate the distance covered by the hare in the one minute head start, then determine the time it takes for the dog to catch the hare using their relative speed, and finally calculate the total distance from the starting point where the hare was caught.
Hare's speed: \(12 \text{ km/h}\)
\[ 12 \text{ km/h} = 12 \times \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{12000}{3600} \text{ m/s} = \frac{10}{3} \text{ m/s} \]Alternatively, in m/min:\[ 12 \text{ km/h} = 12 \times \frac{1000 \text{ m}}{60 \text{ min}} = 200 \text{ m/min} \]Dog's speed: \(16 \text{ km/h}\)\[ 16 \text{ km/h} = 16 \times \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{16000}{3600} \text{ m/s} = \frac{40}{9} \text{ m/s} \]Alternatively, in m/min:\[ 16 \text{ km/h} = 16 \times \frac{1000 \text{ m}}{60 \text{ min}} = \frac{1600}{6} \text{ m/min} = \frac{800}{3} \text{ m/min} \]Let's use m/min for easier calculation with the 1-minute head start.The hare runs for 1 minute before the dog starts chasing.
\[ \text{Distance covered by hare in 1 min} = \text{Hare's speed} \times \text{Time} \]\[ = 200 \text{ m/min} \times 1 \text{ min} = 200 \text{ m} \]The hare was initially 100 m away from the dog. After 1 minute, the hare has moved another 200 m away.
\[ \text{Total initial separation} = 100 \text{ m (initial)} + 200 \text{ m (hare's head start)} = 300 \text{ m} \]Since both are moving in the same direction, the relative speed is the difference between their speeds.
\[ \text{Relative speed} = \text{Dog's speed} - \text{Hare's speed} \]\[ = \frac{800}{3} \text{ m/min} - 200 \text{ m/min} = \left(\frac{800 - 600}{3}\right) \text{ m/min} = \frac{200}{3} \text{ m/min} \]The dog needs to cover the initial separation distance (300 m) at the relative speed.
\[ \text{Time to catch} = \frac{\text{Initial separation}}{\text{Relative speed}} \]\[ = \frac{300 \text{ m}}{\frac{200}{3} \text{ m/min}} = \frac{300 \times 3}{200} \text{ min} = \frac{900}{200} \text{ min} = 4.5 \text{ min} \]The dog runs for 4.5 minutes at its speed of \(16 \text{ km/h}\) or \(\frac{800}{3} \text{ m/min}\).
\[ \text{Distance covered by dog} = \text{Dog's speed} \times \text{Time to catch} \]\[ = \frac{800}{3} \text{ m/min} \times 4.5 \text{ min} = \frac{800}{3} \times \frac{9}{2} \text{ m} = 400 \times 3 \text{ m} = 1200 \text{ m} \]The dog started 100 m behind the hare's initial position. So, the distance from the spot where the hare took flight (which is the dog's starting point) is the distance covered by the dog minus the initial 100 m separation.
Wait, the question asks "At what distance from the spot where the hare took to flight will the dog catch the hare?". The "spot where the hare took to flight" is the hare's initial position. The dog started 100m behind this spot. So, the distance from the hare's initial spot is the distance covered by the dog minus the initial 100m separation.
\[ \text{Distance from hare's initial spot} = \text{Distance covered by dog} - 100 \text{ m} \]\[ = 1200 \text{ m} - 100 \text{ m} = 1100 \text{ m} \]Alternatively, we can calculate the total distance covered by the hare from its initial spot. The hare ran for 1 minute (before the dog started) + 4.5 minutes (while the dog was chasing) = 5.5 minutes.\[ \text{Total distance covered by hare} = \text{Hare's speed} \times \text{Total time hare ran} \]\[ = 200 \text{ m/min} \times 5.5 \text{ min} = 1100 \text{ m} \]A) 1100 m
The question asks for the date on which 'World Ozone Day' is observed. This is a factual question related to important international environmental observances. Recalling the specific date associated with this event is key to answering correctly.
Correct Option: D) September 16 is the date observed as 'World Ozone Day' to commemorate the signing of the Montreal Protocol on Substances that Deplete the Ozone Layer.
To find the missing number in the series, we need to identify the pattern or rule governing the sequence. This series appears to be an alternating series, meaning there might be two interleaved patterns.
This sub-series follows a pattern of adding 11 to the previous term.
This sub-series also follows a pattern of adding 11 to the previous term.
Thus, the missing number is 54.
Correct Option: A) 54
The question asks to identify the NASA observatory used in a 2018 campaign to study Saturn's moon and comets. This requires knowledge of specific NASA missions and observatories.
Correct Option: C) SOFIA
The question asks about the primary agents responsible for the decomposition of organic matter. This is a fundamental concept in ecology and environmental science, focusing on the role of different organisms in nutrient cycling.
A) Bacteria are the primary decomposers of organic matter. They break down dead plants and animals, returning essential nutrients to the soil and atmosphere, which is vital for the continuation of life cycles.
The question asks to identify the specific force responsible for attraction between all masses in the universe, particularly the Earth's attraction on nearby objects. We need to recall the fundamental forces of nature and their definitions.
where \(F\) is the gravitational force, \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(r\) is the distance between their centers.
Correct Option: C) Gravitational force is the force of attraction between all masses in the universe, including the Earth's attraction for bodies near its surface.
The question asks about the symbolism of the five interlinked rings on the Olympic flag. This is a factual question related to the history and symbolism of the Olympic Games. Understanding the core meaning behind the Olympic symbols is key to answering this question.
Therefore, the five interlinked rings symbolize the unity of the five continents.
Correct Option: D) The five interlinked rings in the Olympic flag represent the five inhabited continents of the world (Africa, the Americas, Asia, Europe, and Oceania), united by Olympism.